Finding the Third Proportional to 6,680 and 14,456

Step by Step Solution

1. Step 1: Write the proportion equation
   6,680 : 14,456 = 14,456 : x
2. Step 2: Convert to fraction form
   6,680/14,456 = 14,456/x
3. Step 3: Cross multiply
   6,680x = 14,456 × 14,456
4. Step 4: Simplify right side
   6,680x = 208,975,936
5. Step 5: Solve for x
   x = 208,975,936/6,680
6. Step 6: Final answer
   x = 31,283.82